Estimating the optimum number of boundary elements by error estimation in a defined auxiliary problem

DOI10.1016/j.enganabound.2013.10.010zbMath1297.65173OpenAlexW1996870316MaRDI QIDQ463693

J. Herrera, D. Rodríguez-Gómez

Publication date: 17 October 2014

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2013.10.010

zbMATH Keywords

boundary element methodcomplementary solutionerror estimation techniquequasi-analytical solutionTrefftz complete set

Mathematics Subject Classification ID

Boundary element methods for boundary value problems involving PDEs (65N38)

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Cites Work

• Comparisons of fundamental solutions and particular solutions for Trefftz methods
• Adaptive error estimation technique of the Trefftz method for solving the over-specified boundary value problem
• Torsional rigidity of a circular bar with multiple circular inclusions using the null-field integral approach
• Dual boundary element analysis of oblique incident wave passing a thin submerged breakwater.
• Error estimation for boundary element method
• Novel meshless method for solving the potential problems with arbitrary domain
• Error estimation and iterative improvement for discretization algorithms
• Multi-variable non-singular BEM for 2-D potential problems
• Trefftz method: An overview
• The Trefftz method as an integral equation
• Some applications of the Trefftz method in linear elliptic boundary-value problems
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